Similarity 8
Similarity in Right Triangles
Name__________________________
Worksheet
Leave all answers in simplified radical form or decimal approximation to the nearest tenth.
1.
Find the geometric mean of 24 and 12.
2.
Find the geometric mean of 3 6 and 4 6 .
3.
Find the geometric mean of
1
and 100.
2
Solve for the missing variables. Leave all answers in simplified radical form or decimal
approximation to the nearest tenth.
4.
3
5.
4
z
x
7.
y
x
12
20
8.
12
x
x+2
z
9.
y
y
y
y
x+1
z
z
e
x
4
2
6.
x
z
x
14
8
x+7
Solve for the indicated information.
10.
B
Find x + y
11. Find x
12. Find y
5.2
A
x
3.9
z
y
C
13. Find z
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Similarity 8
14.
B.
A.
C.
D.
45°
4
5
5
42
4
45°
4
15. Given the length of the legs or the hypotenuse, find the length of the other leg and the
hypotenuse of each 45  45  90 triangle.
a)
leg = 8
d) hypotenuse = 8 2
b) leg = 7 2
e) hypotenuse = 10
c) leg = 25
f) hypotenuse = 52
16. The length of a diagonal of a square is 10 2 inches. Find the length of one side of the square.
17. The length of one side of a square is 13.5 cm. Find the length of a diagonal of the square.
18. The perimeter of a square is 44 meters. Find the length of a diagonal of a square.
19. Write the equation of the perpendicular bisector of segment OK with O(-3,1) and K(2,3).
20. Simplify: x²+ (4 13 )²=g²
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